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BIMSA-BIT Differential Geometry Seminar
Geometric flows, G2-structures and 3-Sasakian geometry
Geometric flows, G2-structures and 3-Sasakian geometry
Organizers
Kotaro Kawai
, Chao Qian
Speaker
Jason Lotay
Time
Tuesday, October 4, 2022 9:15 AM - 10:15 AM
Venue
Online
Online
Zoom 559 700 6085
(BIMSA)
Abstract
3-Sasakian 7-manifolds admit two natural Einstein metrics with positive scalar curvature, both of which are induced by special structures in 7 dimensions known as nearly parallel G2-structures. Up to scaling, Einstein metrics are critical points for the Ricci flow and nearly parallel G2-structures are critical points for two different flows in G2 geometry: the Laplacian flow and the Laplacian coflow. In this talk, I will describe how the behaviour is very different for each of these flows on 3-Sasakian 7-manifolds, particularly in terms of the stability and instability of the critical points. This is joint work with A. Kennon.